论文信息 - Preservation of convexity of solutions to parabolic equations

Preservation of convexity of solutions to parabolic equations

Abstract In the present paper we find necessary and sufficient conditions on the coefficients of a parabolic equation for convexity to be preserved. A parabolic equation is said to preserve convexity if given a convex initial condition, any solution of moderate growth remains a convex function of the spatial variables for each fixed time.

Svante Janson | Johan Tysk | S. Janson | J. Tysk

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